Normal Distribution 

Desmos File: Determine P(x < h)
Mean and SD can vary
click on lower right corner to use this online graphing calculator
  • this allows you to adjust mean, standard deviation, and upper bound
  • this allows you to find the area under the curve to the left of the upper bound
  • area under the curve = probability 

Desmos File: Determine P(x < h)
Z Standard Mean = 0 and SD = 1
click on lower right corner to use this online graphing calculator
  • this allows you to adjust upper bound
  • this allows you to find the area under the curve to the left of the upper bound
  • area under the curve = probability 

Desmos File: Determine P(x > l)
​click on lower right corner to use this online graphing calculator
  • this allows you to adjust mean, standard deviation, and lower bound
  • this allows you to find the area under the curve to the right of the lower bound
  • area under the curve = probability 

Desmos File: Determine P(x > l)
Z Standard Mean = 0 and SD = 1
click on lower right corner to use this online graphing calculator
  • this allows you to adjust the lower bound
  • this allows you to find the area under the curve to the rightof the lower bound
  • area under the curve = probability 

Desmos File: Determine P( l < x < h)
click on lower right corner to use this online graphing calculator
  • this allows you to adjust mean, standard deviation, upper and lower bounds
  • this allows you to find the area under the curve between the upper and lower bounds
  • area under the curve = probability 

Desmos File: Determine P(l < x < h)
Z Standard Mean = 0 and SD = 1
click on lower right corner to use this online graphing calculator
  • this allows you to adjust the upper and lower bounds
  • this allows you to find the area under the curve between the upper and lower bounds
  • area under the curve = probability 

Desmos File: Determine P( x < l) or P(x > h)
click on lower right corner to use this online graphing calculator
  • this allows you to adjust mean, standard deviation, upper and lower bounds
  • this allows you to find the area under the curve below the lower bound or above upper bound
  • area under the curve = probability 

Desmos File: Determine P(x < l) or P(x > h)
Z Standard Mean = 0 and SD = 1
click on lower right corner to use this online graphing calculator
  • this allows you to adjust the upper and lower bounds
  • this allows you to find the area under the curve below the lower bound or above upper bound
  • area under the curve = probability 

INVERSE Normal Calculator

This Google sheet will allow you to determine the score required to achieve a specific area to the LEFT of score with a particular area/probability